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Periodic optimal trajectories with singular control for aircraft with high aerodynamic efficiency. (English) Zbl 0790.93105

Bulirsch, R. (ed.) et al., Optimal control. Calculus of variations, optimal control theory and numerical methods. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 111, 289-304 (1993).
Summary: Fuel minimum range cruise of aircraft with high aerodynamic efficiency is considered as an optimal periodic control problem. Optimality conditions for trajectories with singular arcs and state variable constraints are derived.
Computation of periodic optimal trajectories in the case addressed presents strong requirements on the numerical algorithm. Computational difficulties become larger when aerodynamic efficiency is increased and wing loading is decreased. The specific nature of the numerical problems encountered and the means used to overcome them are described.
For the entire collection see [Zbl 0780.00018].

MSC:

93C95 Application models in control theory
49J15 Existence theories for optimal control problems involving ordinary differential equations
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